11363228800 has 384 divisors, whose sum is σ = 35406305280. Its totient is φ = 3500544000.

The previous prime is 11363228797. The next prime is 11363228801. The reversal of 11363228800 is 882236311.

It is a happy number.

It is a super-2 number, since 2×11363228800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11363228801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26364585 + ... + 26365015.

It is an arithmetic number, because the mean of its divisors is an integer number (92203920).

Almost surely, 2^11363228800 is an apocalyptic number.

11363228800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703152640).

11363228800 is an abundant number, since it is smaller than the sum of its proper divisors (24043076480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11363228800 is a wasteful number, since it uses less digits than its factorization.

11363228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 11363228800 in words is "eleven billion, three hundred sixty-three million, two hundred twenty-eight thousand, eight hundred".